多态退化串联可修系统的最优维修更换策略  

Optimal replacement policy for a deteriorating series repairable system with multi-state

作　　者：成国庆[1] 李玲[1] 唐应辉[2] 

机构地区：[1]景德镇陶瓷学院 信息工程学院,景德镇333403 [2]四川师范大学 数学与软件科学学院,成都610066

出　　处：《系统工程理论与实践》2012年第5期1118-1123,共6页Systems Engineering-Theory & Practice

基　　金：国家自然科学基金(70871084);教育部高校博士点专项研究基金(200806360001);国家科技支撑计划项目(12012BAH25F02)

摘　　要：针对工程技术领域中的多失效状态的串联退化可修系统,提出了一种维修更换模型.假设系统中的部件有多个失效状态,故障时以一定的概率进入其中某个状态,部件不能修复如新.以系统中部件的故障次数为更换策略,系统的平均费用率为目标函数,利用推广的几何过程理论建立数学模型,证明了最优维修更换策略的存在性.最后,通过一个数值例子验证了本方法的有效性.A maintenance model for a deteriorating series system with multi-state is proposed.Assume that every component in the system has more than one failure states.The occurrence of a failure state of any one type is mutually exclusive and stochastic.The failed components can not be repaired as good as new.Under these assumptions,an explicit expression of average cost rate of such system is given by using generalized geometric process and the replacement policy based on the failure numbers of the components. The optimal replacement policy is derived analytically.Finally.a numerical example is given to validate the replacement policy.

关 键 词：几何过程 多状态系统 串联系统 更换策略 退化 

分 类 号：TB114.3[理学—概率论与数理统计]